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Finding the Third Proportional to 108,128 and 162,030

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Solution

The third proportional to 108,128 and 162,030 is: 242,802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,128 : 162,030 = 162,030 : x
  2. Step 2: Convert to fraction form
    108,128/162,030 = 162,030/x
  3. Step 3: Cross multiply
    108,128x = 162,030 × 162,030
  4. Step 4: Simplify right side
    108,128x = 26,253,720,900
  5. Step 5: Solve for x
    x = 26,253,720,900/108,128
  6. Step 6: Final answer
    x = 242,802.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.